Positive solution of one conjecture in the theory of polynomial isochronous centers of Liénard systems

DOI10.1134/S0012266121020014zbMath1477.34053OpenAlexW3138432858MaRDI QIDQ2659253

V. V. Amel'kin

Publication date: 26 March 2021

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266121020014

zbMATH Keywords

polynomial transformationLiénard's polynomial isochronous system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20)

Related Items (3)

Proof of the jacobian conjecture in the two-dimensional case and global isochronous centers of polynomial Hamiltonian differential systems ⋮ Simultaneous bifurcation of limit cycles and critical periods ⋮ Isochronous and strongly isochronous foci of polynomial Liénard systems

Cites Work

• Unnamed Item
• On period functions of Liénard systems
• Isochronicity and commutation of polynomial vector fields
• On one conjecture in the theory of isochronous Liénard systems
• On the classification of Liénard systems with amplitude-independent periods
• Strong isochronicity of the Liénard system
• Isochronicity via normal form

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